Question 96458
GBGBGBBB
GBGBBGBB
GBGBBBGB
GBGBBBBG

GBBGBGBB
GBBGBBGB
GBBGBBBG

GBBBGBGB
GBBBGBBG

GBBBGBGB

BGBGBGBB
BGBGBBGB
BGBGBBBG

BGBBGBGB
BGBBGBBG

BGBBBGBG

BBGBGBGB
BBGBGBBG

BBGBBGBG

BBBGBGBG

These are all the 20 different versions of 5 Boys and 3 girls.

However, you can go one step further depending upon what your question implies...

in each version, the 5 boys can be arranged as b1...b2...b3...b4...b5 or other ways. These are a total of 5! = 5x4x3x2x1 = 120 ways

Also, the 3 girls can be sat 3! = 6 ways.

In addition, each version of the boys seating plan allows for all 6 of the girls seating plans so in total there, there are 120x6 = 720 versions.

so in total there are 20x720 = 14400 different permutations.

jon.